Limit Comparison Test | Calculus 2 Lesson 26 - JK Math

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How to Use the Limit Comparison Test for Series (Calculus 2 Lesson 26)

In this video we learn how to determine if a series converges or diverges by using the Limit Comparison Test. This test is the second of two different companions tests that can be used for determining the convergence or divergence of a series. In most cases this comparison test will be used for series where the direct comparison test would prove to be difficult, or for series that contain complicated algebraic rational expressions.

This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 What is the Limit Comparison Test?
2:50 Example - n^3/(n^7+9)
10:58 Example - sqrt(n)/(n^2+3)
15:46 Example - 1/(4^n-5)
20:29 Example - tan(1/n)
26:14 Outro

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